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Finding the Fourth Proportional to 61,781, 92,672.31 and 20,228

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Solution

The fourth proportional to 61,781, 92,672.31 and 20,228 is: 30,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,781 : 92,672.31 = 20,228 : x
  2. Step 2: Convert to fraction form
    61,781/92,672.31 = 20,228/x
  3. Step 3: Cross multiply
    61,781x = 92,672.31 × 20,228
  4. Step 4: Simplify right side
    61,781x = 1,874,575,486.68
  5. Step 5: Solve for x
    x = 1,874,575,486.68/61,781
  6. Step 6: Final answer
    x = 30,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.